Question: Show that the matrix has eigenvalues 3, 0, 0 and construct three mutually orthogonal eigenvectors.

Show that the matrix

1 1 A = 1 1 1 1 1 1 1

has eigenvalues 3, 0, 0 and construct three mutually orthogonal eigenvectors.

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The characteristic equation is 12 1 1 0 1 12 1 223 1 1 12 so has roots 3 0 0 For the eigenvalue 3 ... View full answer

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